by a pedestrian related publications direct photon in au+au prl94, 232301 (2005) direct photon in...
DESCRIPTION
Perfect liquid hot enough to be quark soup Hydro fits T ini ~ 300 – 600 MeV (k B T ~ eV K -1 ) T ~ 4 – K 170 MeV Perfect liquid 300 MeV600 MeV free Gas ? 05/02/ F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting (Arxiv: )TRANSCRIPT
BY A PEDESTRIAN
Related publicationsdirect photon in Au+Au PRL94, 232301 (2005)direct photon in p+p PRL98, 012002 (2007)e+e- in p+p and Au+Au arXiv:0912.0244 (PRC)Direct (virtual) photon in Au+Au arXiv:0804.4168 (PRL)
Latest results on direct photon from Phenix
05/02/2010
1
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
New findings on Hot Quark Soup
PHENIX
STAR
05/02/2010
2
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Perfect liquid hot enough to be quark soup
Hydro fits Tini ~ 300 – 600 MeV(kBT ~ 8.6 10-5 eV K-1) T ~ 4 – 8 1012 K
170 MeV
Perfect liquid
300 MeV 600 MeVfree Gas ?
05/02/2010
3
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
(Arxiv:0804.4168)
How to measure the temperature ?
Looking at photons Hot matter emits thermal radiation Temperature can be measured from the emission spectrum
Hard parton scatteringHard parton scattering High pT photons (> 6 GeV)High pT photons (> 6 GeV)
QGP photonsQGP photons Low pT photons (1 – 3 GeV)Low pT photons (1 – 3 GeV)
Hadron gas photonsHadron gas photons Very low pT photons (<2 GeV)Very low pT photons (<2 GeV)
Measuring the photons In p+p : get the baseline In Au+Au : get the temperature
time
hard parton scattering
AuAu
Hadron Gas
freeze-out
quark-gluon plasma
Space
Time
expansio
n
p K
05/02/2010
4
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Sources of photons in A+A In A+A collisions
High pT photons (pT> 6 GeV): non thermal Initial parton-parton scattering: as in p+p not affected by Hot and Dense Matter test the
theoretical description of A+A collisions with pQCD
Low pT photons (pT < 3 GeV) : thermal Come from the thermalized medium Carry information about the initial temperature
of the Quark Gluon Plasma Thermal photons are created in the QGP as well
as in the hadron gas over the entire lifetime of these phases test hydro models
Low and intermediate pT photons (up to 6 GeV) Interaction of the quarks and gluons from
the hard scattering processes with the QGP qhard + gQGP q + get a large fraction of the momentum of
qhard
05/02/2010
5
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Phenix detector
e+e
2 central arms: electrons, photons, hadrons charmonium J/, ’ e+e-
vector meson , , e+e- high pT o+, -
direct photons open charm hadron physics
05/02/2010
6
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
|y|<0.35
Direct photons in p+p : the baseline
PRL98, 012002 (2007)
In p+p collisions Direct photons
Compton scattering q + g q +
qq annihilation q + q g +
Bremsstrahlung (intial state)
Fragmentation photons Brem. From final state partons
Final state hadron decay (background) 0, , K0,… +
Measured p+p yield compatible with NLO pQCD calculations
p+p200 GeV
05/02/2010
7
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Thermal photons
thermal
thermal
direct photons are measured as « excess » above hadron decay photons
πγ0
background
From Monte Carlo : take a parametrization of measured 0 as input and propagate the particles through detectorsbackground photons = remaining photons (from 0) after all cuts
background photons
0 from MC
πγ0
measured
Direct photons candidates : obtained after rejecting photons pairs falling within 110<M<170 MeV/c² (0) and 500<M<620 Mev/c² () Direct photons candidates (from data)
0 from data
γγ
Rbackground
measured
π0γ
background
π0γ
measuredγ
05/02/2010
8
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Difficult to measure below pT<3 GeV/c
(the yield of thermal photons is only 1/10 of that of hadron decay photons)
Alternative: « quasi real » virtual photons
9
05/02/2010F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
e+e-
Source of real photon should also be able to emit virtual photon
LMR I (Low Mass Region I)(Mee0) pT
ee >> Mee « quasi real » photons
γee dN
M1
3π2α
dMd²N
(When M << E)
γ2
121ee dN
mmlog
3π2αmMmdN
Advantages : 0 decay photons are removed reduce the bkg by ~80% Signal/Background improved by a factor 5
(See arXiv : 0912.0244 (appendix B) for more details)
J/
DD
’
r = fraction of direct photons = direct/inclusive
Measuring lepton (electron) pairs
Remove (dalitz) 0 e+e- Mee > 100 MeV/c²Remove other sources of bkg Mee < 300 MeV/c²
Look at 100<Mee<300 MeV
Several pT bins
0 cut-off 0 cut-off
ftot=(1-r) fc(Mee) + r fdir(Mee)
fdir(Mee) = expected shape from direct photon spectrum normalized to the data for mee<30 MeV/c²
fc(Mee) = cocktail mass distribution normalized to mee<30 MeV/c²
05/02/2010
10
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
Cocktail
(Note : identical shape for fdir and fc for mee<30 MeV/c²)
Fraction of direct photons
Several pT bins:
• 1.0 < pT < 1.5 GeV/c• 1.5 < pT < 2.0 GeV/c•2.0 < pT < 2.5 GeV/c•2.5 < pT < 3.0 GeV/c•3.0 < pT < 4.0 GeV/c•4.0 < pT < 5.0 GeV/c
p+p consistent with NLO pQCD
Au+Au : large excess above NLO pQCD
05/02/2010
11
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
NLO pQCD calculations
NLO pQCD calculations
×TAATAA = glauber nuclear overlap function
Direct photon spectrum : the final plot
Direct (real) photons in p+pPhys. Rev. Lett. 98, 012002 (2007) Direct (real) photons in Au+Au
Phys. Rev. Lett. 94, 232301 (2005)
NLO pQCD calculations
Modified Power Law Fit on p+p
MPL Fit on p+p× TAA
Au+AuMin bias
central
mid
Exponential+
MPLF on p+p× TAA
p+p
05/02/2010
12
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
γγ
incl
dir
r
dNdNNdNdN c
ee
c
γdata
ee
incl
γ
dir
γrr
Normalized cocktail e+e- yieldFor mee < 30 MeV/c²
Photon yield from normalized cocktail
Measured e+e- yieldfor mee < 30 MeV/c²
Fit = exponential + (MPLF×TAA)
= + (MPLF×TAA)
Ae /TpT
T = 221 ±23±18 MeV
Starting from
(identical shape for fdir and fc for mee<30 MeV/c²)
(arXiv:0804.4168)
Comparison with hydro models
05/02/2010
13
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting
From hydro models
300 MeV< Tini < 600 MeV0.17 fm < 0 < 0.6
TC from Lattice QCD ~ 170 MeV
TAuAu(fit) ~ 220 MeV
170 MeV Perfect liquid
300 MeV 600 MeV
Conclusion
05/02/2010
14
F. Fleuret - LLR Rencontre ions lourds/Heavy Ion Meeting